From pro-\(p\) Iwahori-Hecke modules to \((\phi ,\Gamma)\)-modules. I.

DOI10.1215/00127094-3450101zbMath1364.11103arXiv1507.05859OpenAlexW2274675838MaRDI QIDQ726776

Elmar Grosse-Klönne

Publication date: 14 July 2016

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.05859

zbMATH Keywords

Galois representationIwahori-Hecke algebra\(\mod p\) representationmodular local Langlands programsupersingular module

Mathematics Subject Classification ID

(p)-adic theory, local fields (11F85) Galois representations (11F80) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (10)

Perverse \(\mathbb{F}_p\)-sheaves on the affine Grassmannian ⋮ Hecke algebras and affine flag varieties in characteristic \(p\) ⋮ Differential equations and Lie group representations ⋮ Coefficient Systems on the Bruhat-Tits Building and Pro-𝑝 Iwahori-Hecke Modules ⋮ EXTENSION BETWEEN SIMPLE MODULES OF PRO-p-IWAHORI HECKE ALGEBRAS ⋮ Representations of \(p\)-adic groups over commutative rings ⋮ Modulo \(p\) parabolic induction of pro-\(p\)-Iwahori Hecke algebra ⋮ From pro-\(p\) Iwahori-Hecke modules to \((\phi ,\Gamma)\)-modules. I. ⋮ Supersingular Hecke modules as Galois representations ⋮ Central elements in affine modpHecke algebras via perverse -sheaves

Cites Work

• Parabolic induction and Hecke modules in characteristic \(p\) for \(p\)-adic GL\(_n\)
• \(p\)-torsion coefficient systems for \(\mathrm{SL}_2(\mathbb{Q}_p)\) and \(\mathrm{GL}_2(\mathbb{Q}_p)\)
• From pro-\(p\) Iwahori-Hecke modules to \((\phi ,\Gamma)\)-modules. I.
• Note on Nakayama's lemma for compact \(\Lambda\)-modules
• Ordinary representations of \(G(\mathbb{Q}_p)\) and fundamental algebraic representations
• Pro- Iwahori–Hecke algebras are Gorenstein
• Locally unitary principal series representations of ${\rm GL}_{d+1}(F)$
• On some modular representations of the Borel subgroup of GL₂(Q_p)
• Modular Representations of Finite Groups of Lie Type

This page was built for publication: From pro-\(p\) Iwahori-Hecke modules to \((\phi ,\Gamma)\)-modules. I.